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Solve for [tex] x [/tex].

[tex] \frac{2}{3}x + 7 = 5 [/tex]

Answer :

Let's solve the equation step-by-step and verify the solution.

We have the equation:

[tex]\[
\frac{2}{3} x + 7 = 5
\][/tex]

and we're checking if [tex]\( x = -6 \)[/tex] is a solution.

Step 1: Substitute [tex]\( x = -6 \)[/tex] into the equation.

First, we'll replace [tex]\( x \)[/tex] with [tex]\(-6\)[/tex] in the equation:

[tex]\[
\frac{2}{3}(-6) + 7
\][/tex]

Step 2: Calculate [tex]\(\frac{2}{3}(-6)\)[/tex].

Multiply [tex]\(\frac{2}{3}\)[/tex] by [tex]\(-6\)[/tex]:

[tex]\[
\frac{2}{3} \times (-6) = \frac{-12}{3} = -4
\][/tex]

Step 3: Add 7 to the result from Step 2.

Now add 7:

[tex]\[
-4 + 7 = 3
\][/tex]

The left side of the equation evaluates to 3.

Step 4: Compare the left side and right side.

The right side of the original equation is 5. So we compare:

[tex]\[
3 \neq 5
\][/tex]

Since the left side (3) does not equal the right side (5), [tex]\( x = -6 \)[/tex] is not a solution to the equation.

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Rewritten by : Barada